Suppose That the Position of One Particle at Time T $1$

question 16

Short Answer

Suppose that the position of one particle at time t is given by
x $1$ = 4 sin t, y $1$ = 2 cos t for 0 $\leq t \leq 2 \pi$ and the position of a second particle is given by
x $2$ = 2 cos t - 1, y $2$ = 4 sin t + 2 for 0 $\leq t \leq 2 \pi$ (a) How many points of intersection are there for these two paths?
(b) Are any of these collision points (that is, points where the particles are at the same place at the same time)? If so, find the collision points.

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Definitions:

Affirmative Consent

Explicitly saying yes to any sexual behavior with another person.

Lack Of Resistance

A situation in which someone does not oppose or resist something, sometimes indicating consent or acquiescence.

No Means No

A phrase emphasizing that refusal or denial does not require justification and should be respected, often used in the context of sexual consent.

Consent

The agreement between participants to engage in a specific activity, given freely and willingly, and can be withdrawn at any time.